A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses.

DOI10.1006/jcph.1999.6389zbMath1043.78556OpenAlexW2030471604MaRDI QIDQ1971420

Meng Fan, Lesong Wang, J. S. Steinhoff

Publication date: 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1999.6389

Mathematics Subject Classification ID

Related Items (18)

Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributions ⋮ Integration over curves and surfaces defined by the closest point mapping ⋮ Fast-phase space computation of multiple arrivals ⋮ A level set-based Eulerian approach for anisotropic wave propagation ⋮ The phase flow method ⋮ A cell based particle method for modeling dynamic interfaces ⋮ A level set based Eulerian method for paraxial multivalued traveltimes ⋮ Implicit boundary integral methods for the Helmholtz equation in exterior domains ⋮ A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics. I ⋮ HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON–JACOBI EQUATIONS ⋮ A simple embedding method for solving partial differential equations on surfaces ⋮ Geometric optics in a phase-space-based level set and Eulerian framework ⋮ Level set methods: An overview and some recent results ⋮ GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type ⋮ Stable and efficient evaluation of periodized Green's functions for the Helmholtz equation at high frequencies ⋮ A grid based particle method for moving interface problems ⋮ A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs ⋮ High-frequency wave propagation by the segment projection method

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs
• Big ray tracing: Multivalued travel time field computation using viscosity solutions of the eikonal equation
• A level set approach to a unified model for etching, deposition, and lithography. I: Algorithms and two-dimensional simulations
• Numerical solution of the high frequency asymptotic expansion for the scalar wave equation
• Computational aeroacoustics - Issues and methods
• A fast marching level set method for monotonically advancing fronts.
• Sound generation by turbulence and surfaces in arbitrary motion

This page was built for publication: A new Eulerian method for the computation of propagating short acoustic and electromagnetic pulses.